Date | | Sections | Topics |
Jan 12 | | 1.1,1.2 | Vectors, inner product, distance |
Jan 17 | | 1.3 | matrices, determinants, cross product |
Jan 19 | | 1.4,1.5 | n-space, cylindrical and spherical coordinates |
Jan 24 | | 2.1,2.2 | "graphing", level surfaces, limits |
Jan 26 | | 2.3,2.5 | differentiation, definition and basic properties |
Jan 31 | | 2.4 | paths and curves |
Feb 2 | | 2.6 | gradients, directional derivatives |
Feb 3-8 | | First Examination Period | Chapters 1 and 2 |
Feb 7 | | 3.1,3.2 | higher derivatives, Taylor's theorem |
Feb 9 | | 3.3 | Optimization of scalar functions, Hessian, second derivative test |
Feb 14 | | 3.4 | Optimization with constraint, Lagrange multipliers |
Feb 16 | | 5.1,5.2 | Integration over rectangles, Fubini-Tonelli |
Feb 21 | | 5.3 | general double integral |
Feb 23 | | 5.4,5.5 | changing order of integration, triple integrals |
Feb 28 | | 6.1,6.2 | maps from the plane to itself, changing variables |
Mar 2 | | 6.2,6.3 | more change of variables, applications |
Mar 3-8 | | Second Examination Period | |
Mar 7 | | 4.1,4.2 | some "physics", arc length |
Mar 9 | | 4.3 | vector fields |
Mar 14,16 | | Spring Break | No Class |
Mar 21 | | 4.4 | Divergence and Laplacian |
Mar 23 | | 4.4 | Curl, vector identities |
Mar 28 | | 7.1,7.2 | Path and line integrals |
Mar 30 | | 7.3 | parameterized surfaces |
Apr 4 | | 7.4 | surface area |
Apr 6 | | Spring Recess | No Class |
Apr 11 | | 7.5 | scalar Surface integrals |
Apr 13 | | 7.6 | vector surface integrals |
Apr 14-19 | | Third Examination Period | |
Apr 18 | | 8.1 | Green's theorem |
Apr 20 | | 8.2 | Stoke's theorem |
Apr 25 | | 8.3 | Conservative vector fields |
Apr 27 | | 8.4 | Gauss' theorem |
| |
Section | | Problems | | due date |
1.1 | | 4,5,6,9,18,19,20,22,31 | | Jan 20 |
1.2 | | 6,13,14,16,17,19,27 | | Jan 20 |
1.3 | | 2,3,5,10,15,16,25,28 | | Jan 20 |
1.4 | | 1-4,8,9,12,13,15 | | Jan 27 |
2.1 | | 1,2,6,10,12,17 | | Jan 27 |
2.2 | | 5,6,8,17 | | Jan 27 |
2.3 | | 1,2,5,6bc,9,13,18 | | Feb 3 |
2.4 | | 1,6,8,12,16,20 | | Feb 3 |
2.5 | | 4,5,8,13 | | Feb 3 |
2.6 | | 2,5,7,14,16,24,25 | | Feb 3 |
3.1 | | 3,5,6,12,19,20abc,24 | | Feb 10 |
3.2 | | 1,2,3,6 | | Feb 10 |
3.3 | | 1,3,5,8,10,22,25 | | Feb 17 |
3.4 | | 2,3,5,10,13 | | Feb 17 |
5.1 | | 1ab,2ab,5,7 | | Feb 24 |
5.2 | | 2,3,6,7 | | Feb 24 |
5.3 | | 2,7,8,13,14,16 | | Feb 24 |
5.4 | | 2,3,6,8,11 | | Feb 24 |
5.5 | | 2,4,7,8,10,12,14,16 | | Mar 3 |
6.1 | | 1,2,4,7,8,9 | | Mar 3 |
6.2 | | 1,2,11,13,14,19,21,23 | | Mar 3 |
6.3 | | 2,4,8 | | Mar 10 |
4.1 | | 3,6,7,14,15 | | Mar 10 |
4.2 | | 2,4,6,8,12 | | Mar 10 |
4.3 | | 1-15 odd | | Mar 10 |
4.4 | | 1-26 even, 5 | | Mar 24 |
7.1 | | 3,4,6,11,13 | | Mar 31 |
7.2 | | 2,3,4,10,12,15,16 | | Mar 31 |
7.3 | | 1,2,4,5,6,11,14 | | Apr 10 |
7.4 | | 1,2,3,6,7,13,20 | | Apr 10 |
7.5 | | 2,3,4,8,11, 10 (That's right, do 11 and then 10.) | | Apr 14 |
7.6 | | 1,3,4,6,7,9,18 | | Apr 14 |
8.1 | | 1,2,3,5,7,9,12 | | Apr 24 |
8.2 | | 2,5,7,9-12 | | Apr 24 |
8.3 | | 1,3,4,7,9,12,13,18 | | never |
8.4 | | 1,2,5,7,8,10,18 | | never |
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